{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Clustering metrics - alternatives to the _elbow method_\n",
    "### Dr. Tirthajyoti Sarkar, Fremont, CA 94536\n",
    "\n",
    "Clustering is an important part of the machine learning pipeline for business or scientific enterprises utilizing data science. As the name suggests, it helps to identify congregations of closely related (by some measure of distance) data points in a blob of data, which, otherwise, would be difficult to make sense of.\n",
    "\n",
    "A popular method like k-means clustering does not seem to provide a completely satisfactory answer when we ask the basic question: \n",
    "> **\"How would we know the actual number of clusters, to begin with?\"**\n",
    "\n",
    "This question is critically important because of the fact that the process of clustering is often a precursor to further processing of the individual cluster data and therefore, the amount of computational resource may depend on this measurement. \n",
    "\n",
    "In the case of a business analytics problem, repercussion could be worse. Clustering is often done for such analytics with the goal of market segmentation. It is, therefore, easily conceivable that, depending on the number of clusters, appropriate marketing personnel will be allocated to the problem. Consequently, a wrong assessment of the number of clusters can lead to sub-optimum allocation of precious resources.\n",
    "\n",
    "For the k-means clustering method, the most common approach for answering this question is the so-called elbow method. It involves running the algorithm multiple times over a loop, with an increasing number of cluster choice and then plotting a clustering score as a function of the number of clusters.\n",
    "\n",
    "In this notebook, we show what metric to use for visualizing and determining an optimal number of clusters much better than the usual practice - elbow method.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create synthetic data using Scikit learn `make_blob` method\n",
    "\n",
    "- Number of features: 4\n",
    "- Number of clusters: 5\n",
    "- Number of samples: 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_classification\n",
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_features = 4\n",
    "n_cluster = 5\n",
    "cluster_std = 1.2\n",
    "n_samples = 200"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data1 = make_blobs(n_samples=n_samples,n_features=n_features,centers=n_cluster,cluster_std=cluster_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "d1 = data1[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Feature_1</th>\n",
       "      <th>Feature_2</th>\n",
       "      <th>Feature_3</th>\n",
       "      <th>Feature_4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.801901</td>\n",
       "      <td>3.605896</td>\n",
       "      <td>4.369392</td>\n",
       "      <td>2.325192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-6.901915</td>\n",
       "      <td>-10.952801</td>\n",
       "      <td>-5.004106</td>\n",
       "      <td>0.308243</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.016578</td>\n",
       "      <td>1.299328</td>\n",
       "      <td>-8.264865</td>\n",
       "      <td>-7.548624</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.053912</td>\n",
       "      <td>3.702495</td>\n",
       "      <td>4.520239</td>\n",
       "      <td>3.023131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.806206</td>\n",
       "      <td>-6.826686</td>\n",
       "      <td>-8.700822</td>\n",
       "      <td>5.238822</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Feature_1  Feature_2  Feature_3  Feature_4\n",
       "0   1.801901   3.605896   4.369392   2.325192\n",
       "1  -6.901915 -10.952801  -5.004106   0.308243\n",
       "2   0.016578   1.299328  -8.264865  -7.548624\n",
       "3   2.053912   3.702495   4.520239   3.023131\n",
       "4   2.806206  -6.826686  -8.700822   5.238822"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df1=pd.DataFrame(data=d1,columns=['Feature_'+str(i) for i in range(1,n_features+1)])\n",
    "df1.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "lst_vars=list(combinations(df1.columns,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(lst_vars)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,8))\n",
    "for i in range(1,7):\n",
    "    plt.subplot(2,3,i)\n",
    "    dim1=lst_vars[i-1][0]\n",
    "    dim2=lst_vars[i-1][1]\n",
    "    plt.scatter(df1[dim1],df1[dim2],c=data1[1],edgecolor='k',s=150)\n",
    "    plt.xlabel(f\"{dim1}\",fontsize=13)\n",
    "    plt.ylabel(f\"{dim2}\",fontsize=13)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How are the classes separated (boxplots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1008 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,14))\n",
    "for i,c in enumerate(df1.columns):\n",
    "    plt.subplot(3,2,i+1)\n",
    "    sns.boxplot(y=df1[c],x=data1[1])\n",
    "    plt.xticks(fontsize=15)\n",
    "    plt.yticks(fontsize=15)\n",
    "    plt.xlabel(\"Class\",fontsize=15)\n",
    "    plt.ylabel(c,fontsize=15)\n",
    "    #plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## k-means clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Unlabled data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=df1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Feature_1</th>\n",
       "      <th>Feature_2</th>\n",
       "      <th>Feature_3</th>\n",
       "      <th>Feature_4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.801901</td>\n",
       "      <td>3.605896</td>\n",
       "      <td>4.369392</td>\n",
       "      <td>2.325192</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-6.901915</td>\n",
       "      <td>-10.952801</td>\n",
       "      <td>-5.004106</td>\n",
       "      <td>0.308243</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.016578</td>\n",
       "      <td>1.299328</td>\n",
       "      <td>-8.264865</td>\n",
       "      <td>-7.548624</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.053912</td>\n",
       "      <td>3.702495</td>\n",
       "      <td>4.520239</td>\n",
       "      <td>3.023131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.806206</td>\n",
       "      <td>-6.826686</td>\n",
       "      <td>-8.700822</td>\n",
       "      <td>5.238822</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Feature_1  Feature_2  Feature_3  Feature_4\n",
       "0   1.801901   3.605896   4.369392   2.325192\n",
       "1  -6.901915 -10.952801  -5.004106   0.308243\n",
       "2   0.016578   1.299328  -8.264865  -7.548624\n",
       "3   2.053912   3.702495   4.520239   3.023131\n",
       "4   2.806206  -6.826686  -8.700822   5.238822"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "y=data1[1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import MinMaxScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = MinMaxScaler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_scaled=scaler.fit_transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import silhouette_score, davies_bouldin_score,v_measure_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Running k-means and computing inter-cluster distance score for various *k* values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Score for number of cluster(s) 2: -30.352003414553124\n",
      "Silhouette score for number of cluster(s) 2: 0.45936723608066826\n",
      "Davies Bouldin score for number of cluster(s) 2: 1.0093937644665807\n",
      "V-measure score for number of cluster(s) 2: 0.5897275217561558\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 3: -16.1340246424723\n",
      "Silhouette score for number of cluster(s) 3: 0.5779386568713396\n",
      "Davies Bouldin score for number of cluster(s) 3: 0.6958113982658629\n",
      "V-measure score for number of cluster(s) 3: 0.7918756684685209\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 4: -9.28898992833155\n",
      "Silhouette score for number of cluster(s) 4: 0.6631543270567946\n",
      "Davies Bouldin score for number of cluster(s) 4: 0.5094494331888024\n",
      "V-measure score for number of cluster(s) 4: 0.905746099275519\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 5: -3.0508604525131533\n",
      "Silhouette score for number of cluster(s) 5: 0.7278567892731838\n",
      "Davies Bouldin score for number of cluster(s) 5: 0.3828631273455477\n",
      "V-measure score for number of cluster(s) 5: 1.0\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 6: -2.8646363609639005\n",
      "Silhouette score for number of cluster(s) 6: 0.6320426894330352\n",
      "Davies Bouldin score for number of cluster(s) 6: 0.7040419517840836\n",
      "V-measure score for number of cluster(s) 6: 0.9587820033385084\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 7: -2.700957548449713\n",
      "Silhouette score for number of cluster(s) 7: 0.5264715175622142\n",
      "Davies Bouldin score for number of cluster(s) 7: 1.0091793597367678\n",
      "V-measure score for number of cluster(s) 7: 0.9212234750540854\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 8: -2.5306323604690317\n",
      "Silhouette score for number of cluster(s) 8: 0.43132973669771707\n",
      "Davies Bouldin score for number of cluster(s) 8: 1.2404354675007188\n",
      "V-measure score for number of cluster(s) 8: 0.888762396041958\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 9: -2.3768980717779913\n",
      "Silhouette score for number of cluster(s) 9: 0.3474674405313392\n",
      "Davies Bouldin score for number of cluster(s) 9: 1.3802332474253154\n",
      "V-measure score for number of cluster(s) 9: 0.8630288819887606\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 10: -2.2470513366675737\n",
      "Silhouette score for number of cluster(s) 10: 0.24294610654282767\n",
      "Davies Bouldin score for number of cluster(s) 10: 1.5347029282924933\n",
      "V-measure score for number of cluster(s) 10: 0.8281105928700783\n",
      "----------------------------------------------------------------------------------------------------\n",
      "Score for number of cluster(s) 11: -2.1407632404196013\n",
      "Silhouette score for number of cluster(s) 11: 0.24150066616676769\n",
      "Davies Bouldin score for number of cluster(s) 11: 1.4652990878516001\n",
      "V-measure score for number of cluster(s) 11: 0.8140945177247814\n",
      "----------------------------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "km_scores= []\n",
    "km_silhouette = []\n",
    "vmeasure_score =[]\n",
    "db_score = []\n",
    "for i in range(2,12):\n",
    "    km = KMeans(n_clusters=i, random_state=0).fit(X_scaled)\n",
    "    preds = km.predict(X_scaled)\n",
    "    \n",
    "    print(\"Score for number of cluster(s) {}: {}\".format(i,km.score(X_scaled)))\n",
    "    km_scores.append(-km.score(X_scaled))\n",
    "    \n",
    "    silhouette = silhouette_score(X_scaled,preds)\n",
    "    km_silhouette.append(silhouette)\n",
    "    print(\"Silhouette score for number of cluster(s) {}: {}\".format(i,silhouette))\n",
    "    \n",
    "    db = davies_bouldin_score(X_scaled,preds)\n",
    "    db_score.append(db)\n",
    "    print(\"Davies Bouldin score for number of cluster(s) {}: {}\".format(i,db))\n",
    "    \n",
    "    v_measure = v_measure_score(y,preds)\n",
    "    vmeasure_score.append(v_measure)\n",
    "    print(\"V-measure score for number of cluster(s) {}: {}\".format(i,v_measure))\n",
    "    print(\"-\"*100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "plt.title(\"The elbow method for determining number of clusters\\n\",fontsize=16)\n",
    "plt.scatter(x=[i for i in range(2,12)],y=km_scores,s=150,edgecolor='k')\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Number of clusters\",fontsize=14)\n",
    "plt.ylabel(\"K-means score\",fontsize=15)\n",
    "plt.xticks([i for i in range(2,12)],fontsize=14)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=[i for i in range(2,12)],y=vmeasure_score,s=150,edgecolor='k')\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"V-measure score\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "plt.title(\"The silhouette coefficient method \\nfor determining number of clusters\\n\",fontsize=16)\n",
    "plt.scatter(x=[i for i in range(2,12)],y=km_silhouette,s=150,edgecolor='k')\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Number of clusters\",fontsize=14)\n",
    "plt.ylabel(\"Silhouette score\",fontsize=15)\n",
    "plt.xticks([i for i in range(2,12)],fontsize=14)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mFOgiIjGhQBcRiQkFuohITCjQRURiQoEuIhITCnQRkZhQoIuIxIQCXUQkJhToIiIxoUAXEYkJBbqISEwo0EVEYkKBLiISEwp0EZGYUKCLiMSEAl1EJCYKCnQzu8vMvm9mx83sgSHWzzCzvWb2gpkdNrMPFr9UEREZSd5AN7NK4MvAMuCngTVm9tODmv0P4FvufhvwEeArxS5URERGVsgZ+vuB4+5+wt3fAtLA3YPaOJAKH/8k8M/FK1FERApRVUCb64BT/Z53AAsHtfmfwFNmtg6oAX6hKNWJiEjBCgl0G2KZD3q+BnjE3f/QzBYBf2Zmt7h7z4Adma0F1gJMnTqV1tbWUZSck8lkrmj7OFFfDKT+6KO+6DMR+qKQQO8A3tXv+fW8fUjlk8BdAO7+nJm9A6gDzvZv5O4PAw8D1NfXe0NDw+iqBlpbW7mS7eNEfTGQ+qOP+qLPROiLQsbQnwdmm9kNZnYVuTc9Hx3U5kfABwDM7GbgHcC5YhYqIiIjyxvo7t4FfBp4EniF3NUsL5nZ75nZh8JmvwXca2YvAjuAT7j74GEZEREZQ4UMueDue4A9g5Z9tt/jl4ElxS1NREQuhz4pKiISEwp0EZGYUKCLiMSEAl1EJCYU6BIrQRCQzWYJgiDqUkRKToF+BYIgoKOjQ+ERsWw2SzqdZsHCxdRNmcbRl16mbso0FixcTDqdJpvNRl2iSEko0C/T4PC4ed4ChUeEOjs7WXRHA/c1P8SpaxuYvm4HVZNnMn3dDk5dm1u+6I4GOjs7oy5VZMwVdB265HR2drJ02QpOnstQMW850+/8DFZZhXd3cep4O/c1P8QXvriVp5/YTW1tbdTlxl42m839PHrqSK5+ALPe85MurLKKmjlL8JsWcXLvdpYuW8Fzz7SSSCQirVlkLOkMvUADw+NBauYswSpzfw97wyO5+kFO9lzD0mUrdKZeArt27eLEuQzJxnv6hflAZhUkG+/lxLnztLS0lLhCkdJSoBdI4TH+bNq8hcp5y4f9efQyq6By7nI2bd5SospEoqFAL5DCY3wJgoCjLx6i+j2Dp+YfWvXs2zly6AW9gS2xpkAvgMJj/AmCgEnVyUvDXvlYZRWTqpP6mUisKdALoPAYf1KpFG9ezODdXQW19+4u3ryYIZVK5W8sUqYU6AVQeIw/qVSKW26dz8Xj7QW1v/jD/cydf5t+JhJrCvQCKDzGpw33r6f78OMMutPh27j30H3kcTbcv75ElYlEQ4FeIIXH+LNq1SpmTU6S2bt92J+Lew+Zvdu5cUqKlStXlrhCkdJSoBdI4TH+JBIJnn5iNzdUvM75nc1cOLbv0rCYd3dx4dg+zu9sZlblGzy15zF9qEhiT4FeIIXH+FRbW8tzz7SybWMzM860cXrrGrrOvcrprWuYcaaNbRubebZtrz65KxOCPvp/GXrDo6WlhU2bt3DkO19iUnWSNy9mmDv/NjZsbGblypUK8xJLJBI0NTXR1NREEAS0t7fz2tkzeg9DJhwF+mUaHB5BEJBKpRQe40QqlSKRSOjnIROSAv0KKMhFZDzRGLqISEwo0EVEYkKBLiISEwUFupndZWbfN7PjZvbAMG3+s5m9bGYvmdlfFrdMERHJJ++bomZWCXwZWAp0AM+b2aPu/nK/NrOB3wGWuHunmU0Zq4JFRGRohZyhvx847u4n3P0tIA3cPajNvcCX3b0TwN3PFrdMERHJp5BAvw441e95R7isv5uAm8zse2a238zuKlaBIiJSmEKuQ7chlvkQ+5kNNADXA8+Y2S3u/q8DdmS2FlgLMHXqVFpbWy+33ksymcwVbR8n6ouB1B991Bd9JkJfFBLoHcC7+j2/HvjnIdrsd/cscNLMvk8u4J/v38jdHwYeBqivr/eGhoZRlg2tra1cyfZxor4YSP3RR33RZyL0RSFDLs8Ds83sBjO7CvgI8OigNn8FNAKYWR25IZgTxSxURERGljfQ3b0L+DTwJPAK8C13f8nMfs/MPhQ2exJ43cxeBvYCv+3ur49V0SIi8nYFzeXi7nuAPYOWfbbfYwd+M/wSEZEI6JOiIiIxoUAXEYkJBbqISEwo0MtcEARks1mCIIi6FBGJmAK9DGWzWdLpNAsWLqZuyjSOvvQydVOmsWDhYtLpNNlsNuoSRSQCCvQy09nZyaI7Griv+SFOXdvA9HU7qJo8k+nrdnDq2tzyRXc00NnZGXWpIlJiCvQyks1mWbpsBSd76kiufpCaOUuwytyVp1ZZRc2cJSRXP8jJnmtYumyFztRFJhgFehnZtWsXJ85lSDbeg9nQPzqzCpKN93Li3HlaWlpKXKGIREmBXkY2bd5C5bzlw4Z5L7MKKucuZ9PmLSWqTETGAwV6mQiCgKMvHqL6PQsLal89+3aOHHpBV7+ITCAK9DIRBAGTqpOXxszzscoqJlUnFegiE4gCvUykUinevJjBu7sKau/dXbx5MUMqlRrjykRkvFCgl4lUKsUtt87n4vH2gtpf/OF+5s6/TYEuMoEo0MvIhvvX0334cdx7Rmzn3kP3kcfZcP/6ElUmIuOBAr2MrFq1ilmTk2T2bh821N17yOzdzo1TUqxcubLEFYpIlBToZSSRSPD0E7u5oeJ1zu9s5sKxfZfG1L27iwvH9nF+ZzOzKt/gqT2PkUgkIq5YREpJgV5mamtree6ZVrZtbGbGmTZOb11D17lXOb11DTPOtLFtYzPPtu2ltrY26lJFpMQKuwZOxpVEIkFTUxNNTU0EQUB7ezuvnT2jN0BFJjidoZe5VCpFIpFQmIuIAl1EJC4U6CIiMaFAFxGJCQW6iEhMKNClKIIgoKOjQ5OBiUSooEA3s7vM7PtmdtzMHhih3WozczOrL16JMl4NvrfpzfMW6N6mIhHKex26mVUCXwaWAh3A82b2qLu/PKjdTwDrgcJmj5Ky1tnZmbsd3rkMFfOWM/3Oz2CVVXh3F6eOt3Nf80N84YtbefqJ3fqQk0iJFHKG/n7guLufcPe3gDRw9xDtPg9sAn5cxPpkHNK9TUXGp0IC/TrgVL/nHeGyS8zsNuBd7r67iLXJOKV7m4qMT+buIzcw+zDwi+5+T/j8Y8D73X1d+LwC+FvgE+7+qpm1Av/d3Q8Msa+1wFqAqVOnvi+dTo+68EwmQzKZHPX2cVLqvnjl2DHeSvwEFe/I/5o9P85wVTbDze+dU4LKcnRs9FFf9IlLXzQ2Nh509yHfpywk0BcB/9PdfzF8/jsA7v5Q+PwngX8AMuEm04A3gA8NFeq96uvr/cCBYVfn1draSkNDw6i3j5NS9kUQBNRNmcb0dTsKuh2ed3dxeuuaks41o2Ojj/qiT1z6wsyGDfRChlyeB2ab2Q1mdhXwEeDR3pXu/m/uXufuM919JrCfPGEu5Uv3NhUZv/IGurt3AZ8GngReAb7l7i+Z2e+Z2YfGukAZX3RvU5Hxq6DTLHffA+wZtOyzw7RtuPKyZLzqvbfpqePt1MxZkre97m0qUjr6pKhcNt3bVGR8UqDLZdO9TUXGJwW6XDbd21RkfNIt6GRUeu9t2tLSwqbNWzjynS8xqTrJmxczzJ1/Gxs2NrNy5UqFuUgJKdBl1Abf2zQIAlKplN4AFYmIAl2KQkEuEj2NoYuIxIQCXUQkJhToIiIxoUAXEYkJBbqISEwo0EVEYiLvfOhj9sJm54B/vIJd1AGvFamccqe+GEj90Ud90ScuffFud5881IrIAv1KmdmB4SZ5n2jUFwOpP/qoL/pMhL7QkIuISEwo0EVEYqKcA/3hqAsYR9QXA6k/+qgv+sS+L8p2DF1ERAYq5zN0ERHpp+wC3czeZWZ7zewVM3vJzH4j6pqiZmaVZvaCme2OupYomdk7zWynmR0Lj49FUdcUJTO7P/wdOWpmO8zsHVHXVCpm9nUzO2tmR/st+ykze9rMfhj+WxtljWOh7AId6AJ+y91vBm4H7jOzn464pqj9BvBK1EWMA18CvuPu7wVuZQL3iZldB6wH6t39FqAS+Ei0VZXUI8Bdg5Y9AHzX3WcD3w2fx0rZBbq7n3b3vw8fnyf3S3tdtFVFx8yuB5YDX4u6liiZWQq4E/i/AO7+lrv/a7RVRa4KuNrMqoBq4J8jrqdk3L0NeGPQ4ruBb4SPvwH8p5IWVQJlF+j9mdlM4DagPdpKIvVFYAMw9N2aJ45ZwDngT8Lhp6+ZWU3URUXF3f8J+ALwI+A08G/u/lS0VUVuqrufhtyJITAl4nqKrmwD3cySwC7gv7l7EHU9UTCzFcBZdz8YdS3jQBWwANjm7rcBF4jhf6kLFY4P3w3cAFwL1JjZr0RblYy1sgx0M0uQC/O/cPeWqOuJ0BLgQ2b2KpAG/oOZ/Xm0JUWmA+hw997/re0kF/AT1S8AJ939nLtngRZgccQ1Re1fzGw6QPjv2YjrKbqyC3QzM3LjpK+4+/+Jup4oufvvuPv17j6T3Btef+vuE/IszN3PAKfMbE646APAyxGWFLUfAbebWXX4O/MBJvCbxKFHgY+Hjz8O/HWEtYyJcrxJ9BLgY8ARMzsULvtdd98TYU0yPqwD/sLMrgJOAL8WcT2Rcfd2M9sJ/D25K8NeYAJ8UrKXme0AGoA6M+sAPgf8PvAtM/skuT94H46uwrGhT4qKiMRE2Q25iIjI0BToIiIxoUAXEYkJBbqISEwo0EVEYkKBLkVhZt1mdiic3e9FM/tNMxvV8WVm9Wa2pQg1fcLMzvWra6eZVY9yXzP7z9w3aF2rmdWHj/eY2TuvpG6R0VKgS7H8u7vPd/efAZYCHyR37e9lc/cD7r6+SHV9s19dbwFNRdrvkNz9g1FOCmZmlVG9tkRPgS5F5+5ngbXApy1nppk9Y2Z/H34tBjCzb5rZB3u3M7NHzGyVmTX0zu1uZjXh3NbPh5Nu3R0u/xkz+7vw7Puwmc0eqaZwxsEaoDN8/m4z+2647XfNbEa/Glb32y4zxL6uNrN0uO03gav7rXvVzOrC7/kVM9se/u/gKTO7eoh9fTicr/xFM2sLl1Wa2RfM7Ej4GuvC5R8I++BI2CeT+r3mZ81sH/BhM7vRzL5jZgfDfn9vIT83iQF315e+rvgLyAyxrBOYSm7q1neEy2YDB8LHvwR8I3x8FXCKXDg2ALvD5RuBXwkfvxP4Ablg3gp8tN+2Vw/x+p8gNwPjIeBfgGeAynDdY8DHw8f/Bfir8PEjwOrB3xcwEzgaPv5N4Ovh43nkPolZHz5/FagL23cB88Pl3+r9PgbVeAS4rvf7C//9r+TmKqoKn/8U8I6wf24Kl/0puYnpel9zQ799fheYHT5eSG5KiMiPEX2N/ZfO0GUsWfhvAthuZkeAbwO9NyR5gtyEYpOAZUCbu//7oH38R+CBcJqHVnLBNgN4DvhdM/sM8O4htuv1TXefD0wjF56/HS5fBPxl+PjPgJ+7jO/rTuDPAdz9MHB4mHYn3b13eoqD5EJ+sO8Bj5jZveRuQgG5ibW+6u5d4Wu8AcwJ9/eDsM03wjp6fRMuzUK6GPh22Gd/DEy/jO9Nylg5zuUiZcDMZgHd5Ga0+xy5M+RbyQ3z/RjA3X9sZq3AL5Ib294x1K6AVe7+/UHLXzGzdnI393jSzO4BbgbuDdd/sH9jd3cze4zcfC+/P8Tr9M6B0RXW2DsR3FXDfIuFzJnxZr/H3fQbmulX16fMbGH4fRwys/nkvufB+7fB2w5yIfy3AvjX8I+YTDA6Q5eiM7PJwFeBP3J3B34SOO3uPeQmVuv/xl2a3CRadwBPDrG7J4F1YbhiZreF/84CTrj7FnKz6M1z9y977g3Q+e4+1N15fg74h/Dxs/Tdku2jwL7w8avA+8LHd5P738VgbeE2mNkt5IZdRsXMbnT3dnf/LPAa8C7gKeBT4bg/ZvZTwDFgppm9J9z0Y8D/G7w/z90b4KSZfTjc1szs1tHWJ+VFgS7FcnXv5YHA35ALpf8VrvsK8HEz2w/cRN/ZJGG7O4G/cfe3htjv58mF6uHwssHPh8ubgKPhsMJ7yY0pD6Wp941Tcne36t1+PfBr4fKPkbsvK8B24OfN7O/IjT9fGLxDYBuQDLfdAPzdMK9diD8I3+Q8Su4PxYvkbif4I3Lf84vAL7v7j8n94ft2OHTVQ+6P5lA+Cnwy3PYlcn+YZALQbIsiIkbkwFAAAAAzSURBVDGhM3QRkZhQoIuIxIQCXUQkJhToIiIxoUAXEYkJBbqISEwo0EVEYkKBLiISE/8fRy1a2zw7Xl0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=[i for i in range(2,12)],y=db_score,s=150,edgecolor='k')\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Davies-Bouldin score\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Expectation-maximization (Gaussian Mixture Model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.mixture import GaussianMixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BIC for number of cluster(s) 2: -785.8861656737248\n",
      "Log-likelihood score for number of cluster(s) 2: 2.3488434232590447\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 3: -1063.8143073144524\n",
      "Log-likelihood score for number of cluster(s) 3: 3.242350678606415\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 4: -1158.0930844329039\n",
      "Log-likelihood score for number of cluster(s) 4: 3.676734522648095\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 5: -1223.633901730918\n",
      "Log-likelihood score for number of cluster(s) 5: 4.039273467138682\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 6: -1190.184775333069\n",
      "Log-likelihood score for number of cluster(s) 6: 4.15433755238961\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 7: -1157.7996605582453\n",
      "Log-likelihood score for number of cluster(s) 7: 4.272061666698102\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 8: -1096.0173488819105\n",
      "Log-likelihood score for number of cluster(s) 8: 4.3162927887528175\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 9: -1072.7140763780408\n",
      "Log-likelihood score for number of cluster(s) 9: 4.456721508738695\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 10: -987.1290914066891\n",
      "Log-likelihood score for number of cluster(s) 10: 4.4414459475558665\n",
      "----------------------------------------------------------------------------------------------------\n",
      "BIC for number of cluster(s) 11: -968.2266431634569\n",
      "Log-likelihood score for number of cluster(s) 11: 4.592876728193337\n",
      "----------------------------------------------------------------------------------------------------\n"
     ]
    }
   ],
   "source": [
    "gm_bic= []\n",
    "gm_score=[]\n",
    "for i in range(2,12):\n",
    "    gm = GaussianMixture(n_components=i,n_init=10,tol=1e-3,max_iter=1000).fit(X_scaled)\n",
    "    print(\"BIC for number of cluster(s) {}: {}\".format(i,gm.bic(X_scaled)))\n",
    "    print(\"Log-likelihood score for number of cluster(s) {}: {}\".format(i,gm.score(X_scaled)))\n",
    "    print(\"-\"*100)\n",
    "    gm_bic.append(-gm.bic(X_scaled))\n",
    "    gm_score.append(gm.score(X_scaled))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,4))\n",
    "plt.title(\"The Gaussian Mixture model BIC \\nfor determining number of clusters\\n\",fontsize=16)\n",
    "plt.scatter(x=[i for i in range(2,12)],y=np.log(gm_bic),s=150,edgecolor='k')\n",
    "plt.grid(True)\n",
    "plt.xlabel(\"Number of clusters\",fontsize=14)\n",
    "plt.ylabel(\"Log of Gaussian mixture BIC score\",fontsize=15)\n",
    "plt.xticks([i for i in range(2,12)],fontsize=14)\n",
    "plt.yticks(fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3o0V1S7T5sSY1NjYS5gBCwV4ukxAEgYIgUDqd5gNQAFNirL1cmKFPAkEOIEpYQweAmCDQASAmCHQAiAkCHQBigkAHgJgg0AEgJgh0AIgJAh0AYmLcQDez68zsl2Z2xMzeNLNvjDBmmpk9Z2Ynzeygmc0tRrEAgNHlM0O/KOkud79dUp2ke8zsjmFjPi+p290XSNom6VuFLRMAMJ5xA90HZXJ3k7mf4RvA3CfpmdztFkl3m5kVrEoAwLjyWkM3s4SZdUg6K2mPuw//6p4bJJ2RJHfvk/SepBmFLBQAMLa8At3d+929TtIcSR8zs9uGDRlpNn7VNo5m9rCZtZtZe1dX18SrBQCMakJXubj77yTtk3TPsEOdkm6UJDOrlPQhSedH+PtPunu9u9fX1tZeU8EAgJHlc5VLrZl9OHf7A5I+IenEsGHPS/ps7vZ6ST/3sDZaB4Aylc9+6LMlPWNmCQ3+AviJu+80s29Kanf35yU9LemHZnZSgzPz+4tWMQBgROMGursflbRkhMe/fsXt/5X0ycKWBgCYCDpFASAmCHQAiAkCHQBigkAHgJgg0AEgJgh0AIgJAh0AYoJAB4CYINABICYIdACICQIdAGKCQAeAmCDQASAmCHQAiAkCHQBigkAHgJgg0AEgJgh0AIgJAh0AYoJAB4CYINABICYIdACICQIdAGKCQAeAmCDQASAmCHQAiAkCHQBigkAHgJgg0AEgJgh0AIgJAh0AYoJAB4CYINABICYIdACIiXED3cxuNLO9ZnbczN40s0dHGLPCzN4zs47cz9eLUy4AYDSVeYzpk/Rld3/dzD4o6ZCZ7XH3Xw0b96q7ry18iQCAfIw7Q3f3t9399dztHknHJd1Q7MIAABMzoTV0M5sraYmkgyMcvtPMjpjZbjP7aAFqAwBMQD5LLpIkM0tJapX0JXcPhh1+XdJH3D1jZn8m6V8l3TLCczws6WFJuummm665aADA1fKaoZtZUoNh/mN3bxt+3N0Dd8/kbr8oKWlmNSOMe9Ld6929vra2dpKlAwCulM9VLibpaUnH3f3bo4yZlRsnM/tY7nnPFbJQAMDY8llyWS7pM5KOmVlH7rGvSbpJktz9nyStl/RXZtYn6X8k3e/uXoR6AQCjGDfQ3X2/JBtnzPckfa9QRQEAJq4kO0WDIFBnZ6eCYPhnswBQvkom0LPZrJqbm7W0YZlqZs7SrYuXqmbmLC1tWKbm5mZls9mwSwSAUFlYS9319fXe3t6e19ju7m6tWr1Wp7syqli8RlULGmSJSnl/n3pPHtTA0V2aV5vSnt07VV1dXeTKASA8ZnbI3etHOhb5GXo2mx0M84EapdZv0fSFy2WJwaV/S1Rq+sLlSq3fotMDM7Rq9Vpm6gDKVuQDvbW1Vae6MkqtfFBmI5drVqHUyod0qqtHbW1XXSYPAGUh8oG+ddt2JRavGTXMh5hVKLFojbZu2z5FlQFAtEQ60IMg0BtHOlS1oCGv8VW33KFjHYe5+gVAWYp8oE+rSl1aMx+PJSo1rSpFoAMoS5EO9HQ6rYu9GXl/X17jvb9PF3szSqfTRa4MAKIn8oF+2+116j050m69V+t964AW1S0h0AGUpUgHuiRt3rRR/Ud3yX1gzHHuA+o/tkubN22cosoAIFoiH+jr1q3T/NqUMnt3jBrq7gPK7N2hm2em1djYOMUVAkA0RD7Qk8mk9uzeqXkV59TT0qQLJ/ZfWlP3/j5dOLFfPS1Nmp84r5dffEHJZDLkigEgHHl/Y1GYqqur9dqr+9TW1qat27br2EtPaFpVShd7M1pUt0SbH2tSY2MjYQ6grJXEXi7DBUGgIAiUTqf5ABRAWRlrL5eSmKEPR5ADwNUiv4YOAMgPgQ4AMUGgA0BMEOgAEBOhXeViZl2SfjOJp6iR9G6Byil1nIv343xcxrm4LC7n4iPuXjvSgdACfbLMrH20S3fKDefi/Tgfl3EuLiuHc8GSCwDEBIEOADFRyoH+ZNgFRAjn4v04H5dxLi6L/bko2TV0AMD7lfIMHQBwBQIdAGKi5ALdzG40s71mdtzM3jSzR8OuKWxmljCzw2a2M+xawmRmHzazFjM7kfv/486wawqTmW3K/Rt5w8yeNbPrwq5pqpjZP5vZWTN744rHft/M9pjZW7k/q8OssRhKLtAl9Un6srvfKukOSV8wsz8OuaawPSrpeNhFRMATkl5y9z+SdLvK+JyY2Q2SNkqqd/fbJCUk3R9uVVPqXyTdM+yxv5X0M3e/RdLPcvdjpeQC3d3fdvfXc7d7NPiP9oZwqwqPmc2RtEbSU2HXEiYzS0v6U0lPS5K7/5+7/y7cqkJXKekDZlYpqUrSf4Vcz5Rx91cknR/28H2SnsndfkbSn09pUVOg5AL9SmY2V9ISSQfDrSRU35G0WdLY36Idf/MldUn6QW756Skzmx52UWFx9/+U9I+SfivpbUnvufvL4VYVuj9w97elwYmhpJkh11NwJRvoZpaS1CrpS+4ehF1PGMxsraSz7n4o7FoioFLSUknfd/clki4ohm+p85VbH75P0jxJ10uabmafDrcqFFtJBrqZJTUY5j9297aw6wnRckn3mtmvJTVLusvMfhRuSaHplNTp7kPv1lo0GPDl6hOSTrt7l7tnJbVJWhZyTWH7bzObLUm5P8+GXE/BlVygm5lpcJ30uLt/O+x6wuTuX3X3Oe4+V4MfeP3c3ctyFubu70g6Y2YLcw/dLelXIZYUtt9KusPMqnL/Zu5WGX9InPO8pM/mbn9W0r+FWEtRlOJ3ii6X9BlJx8ysI/fY19z9xRBrQjQ8IunHZvZ7kk5J+lzI9YTG3Q+aWYuk1zV4ZdhhlUHr+xAze1bSCkk1ZtYp6e8k/YOkn5jZ5zX4C++T4VVYHLT+A0BMlNySCwBgZAQ6AMQEgQ4AMUGgA0BMEOgAEBMEOgDEBIEOADHx/5QDlh/r+d07AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=[i for i in range(2,12)],y=gm_score,s=150,edgecolor='k')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
